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Finding the Third Proportional to 184,050 and 259,119

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Solution

The third proportional to 184,050 and 259,119 is: 364,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,050 : 259,119 = 259,119 : x
  2. Step 2: Convert to fraction form
    184,050/259,119 = 259,119/x
  3. Step 3: Cross multiply
    184,050x = 259,119 × 259,119
  4. Step 4: Simplify right side
    184,050x = 67,142,656,161
  5. Step 5: Solve for x
    x = 67,142,656,161/184,050
  6. Step 6: Final answer
    x = 364,806.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.